one of two complementary angles is 30 hear than twice that of the other. What is one of the degree measures of the angles?(Pemember that complinentary angles 45 enowes 27 degrees

Question

Answer 1

The larger angle is 70 degrees.

Answer 2

## Step 1Let's denote the larger angle as

and the smaller angle as

. According to the problem, the larger angle is 30 degrees more than twice the smaller angle. This can be written as the equation:###

## Step 2We also know that the sum of complementary angles is 90 degrees. Therefore, we can write another equation:###

## Step 3Now we have a system of two equations, which we can solve to find the values of

and

.## Step 4Substitute the first equation into the second equation:###

## Step 5Combine like terms:###

## Step 6Subtract 30 from both sides:###

## Step 7Divide both sides by 3:###

## Step 8Substitute

into the first equation:###

Question